Question 939556
Want two solutions.

You wrote two equality symbols, so I am using the first of them as a PLUS sign.


Try discriminant.  You do not want a square, but you want two different solutions for x.


{{{c^2-4*4*9}}}


The discriminant needs to be positive.


{{{c^2-16*9}}}
{{{c^2=16*9}}}
{{{c=12}}}------------the value if exactly one real root.  But you want TWO real roots, and want c as integer.


c can be any of   c=13 or c=14, or ANY integer greater than 12.